A fair coin is tossed four times, and people win Re 1 for each head and lose Rs 1.50 for each tail that turns up. From the sample space calculate how many different amounts of money you can have after four tosses and the probability' of having each of these amounts.

Explanation

To solve the problem step by step, we will first identify the possible outcomes from tossing a fair coin four times, calculate the corresponding amounts of money based on the number of heads and tails, and then determine the probabilities of each amount.

### Step 1: Identify the Sample Space
When a fair coin is tossed four times, the possible outcomes can be represented as combinations of heads (H) and tails (T). The total number of outcomes when tossing a coin four times is \(2^4 = 16\).

The sample space includes:
- HHHH (4 heads, 0 tails)
- HHHT (3 heads, 1 tail)
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